A Marketing Study Was Conducted to Compare the Mean Age $\mathrm { n } = 10 , \quad$

question 101

Multiple Choice

A marketing study was conducted to compare the mean age of male and female purchasers of a certain product. Random and independent samples were selected for both male and female purchasers of the product. It was desired to test to determine if the mean age of all female purchasers exceeds the mean age of all male purchasers. The sample data is shown here:

Female: $\mathrm { n } = 10 , \quad$ sample mean $= 50.30 , \quad$ sample standard deviation $= 13.215$
Male: $\mathrm { n } = 10 , \quad$ sample mean $= 39.80 , \quad$ sample standard deviation $= 10.040$

Find the rejection region to state the correct conclusion when testing at alpha $= 0.01$ .

• A) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { t } > 2.528\)
• B) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { t } > 1.330\)
• C) Reject \(\mathrm { H } _ { 0 }\) if \(t > 2.878\)
• D) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { t } > 2.552\)

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Definitions:

Production Needs

The requirements and resources necessary to complete the manufacturing process for goods or services.

Raw Materials Cost

The expense associated with obtaining the basic materials required for production before any processing or manufacturing is done.

Finished Goods Inventory

The inventory of products that have been manufactured and are ready to be sold to customers.

Production Needs

The specific requirements and quantities of materials, labor, and capacity required to manufacture products.